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159145272 = 2332111322941
BaseRepresentation
bin10010111110001…
…01110100111000
3102002110102021100
421133011310320
5311220122042
623443011400
73641466246
oct1137056470
9362412240
10159145272
1181919220
1245369b60
1326c81700
14171c9796
15de8924c
hex97c5d38

159145272 has 288 divisors, whose sum is σ = 539557200. Its totient is φ = 41932800.

The previous prime is 159145267. The next prime is 159145277. The reversal of 159145272 is 272541951.

159145272 is a `hidden beast` number, since 1 + 591 + 45 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (159145267) and next prime (159145277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159145277) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3881572 + ... + 3881612.

Almost surely, 2159145272 is an apocalyptic number.

159145272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159145272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269778600).

159145272 is an abundant number, since it is smaller than the sum of its proper divisors (380411928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159145272 is a wasteful number, since it uses less digits than its factorization.

159145272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 159145272 is about 12615.2793072528. The cubic root of 159145272 is about 541.9150931570.

The spelling of 159145272 in words is "one hundred fifty-nine million, one hundred forty-five thousand, two hundred seventy-two".